This seems to be an infamous question and at the time I was looking for diapers I couldn’t get an exact answer from anyone. I think that what you need for a newborn is 24 diapers, 6 covers, 24 wipes, 2 pail liners, diaper pail (new trash can), 2 medium wetbags. An extra that is nice but not needed: wipes warmer. With a stash this size, you need to wash every other day since most infants go through 12 diapers a day.
Our family preferred prefolds using a newspaper fold with a snappi to fasten it. Our favorite diaper covers were Baby Beehinds, Thirsties Duo Wrap, and Bummis Super Bright. Now that our little one is on the move we have switched to Hybrids, Pockets, All-in-Ones and, Fitteds. Since about 2 months old, we have used the Tiny Tush Elite Pocket Diapers with 2 inserts for our Night time diaper. If you have a family member that is reluctant to use cloth, you may want to look into getting something other than prefolds.
We are now expecting baby #2 and will be using crochet wool soakers and wraps in addition to the PUL wraps we already have.